Rchr
J-GLOBAL ID：200901015504911581
Update date: Jan. 30, 2024
Kawazumi Nariya
カワズミ ナリヤ | Kawazumi Nariya
Affiliation and department：
Job title：
Professor
Homepage URL (1)：
http://www.ms.u-tokyo.ac.jp/~kawazumi/
Research field (1)：
Geometry
Research keywords (4)：
リーマン面のモジュライ空間
, 位相幾何学
, Moduli space of Riemann surfaces
, Topology
Research theme for competitive and other funds (51)：
- 2022 - 2026 リーマン面に関連する位相幾何学の代数的展開
- 2020 - 2025 数論トポロジーと種々のモノドロミー不変量の新たな展開
- 2018 - 2023 Various evolutions of Teichmuller theory
- 2018 - 2023 Geometry of the braid groups and mapping class groups and their growth
- 2019 - 2022 Topological Study on Riemann Surfaces through Higher Cocycles
- 2014 - 2019 Studies on arithmetic invariants arising from mutual interactions between Galois groups and fundamental groupoids
- 2015 - 2018 Topological studies on Riemann surfaces through Lie bialgebras
- 2014 - 2017 Topology of discrete groups and growth series
- 2012 - 2017 New developments in infinite groups and geometry
- 2012 - 2016 Topological study of Riemann surfaces through infinite-dimensional Lie algebras
- 2011 - 2016 Geometric group theory and metric embedding
- 2010 - 2016 Global geometric studies on Kleinian groups and Teichmuller spaces
- 2010 - 2015 Deepening three-manifold theory
- 2011 - 2013 Deformation spaces of discrete groups and growth functions
- 2008 - 2012 Groups of diffeomorphisms of manifolds
- 2009 - 2011 Localization theory of Atiyah classes and its applications
- 2008 - 2011 4-MANIFOLDS AND RIEMANN SURFACES
- 2008 - 2010 Deformation spaces of discrete groups and hyperbolic structures
- 2007 - 2010 gauge theory and homotopy theory
- 2005 - 2010 Cross-cultural Exchange of Mathematics and Its Development in Early Modern East Asian Maritime Region
- 2007 - 2009 Overall study of topology
- 2007 - 2009 Geometry of Groups and Moduli Spaces (2)
- 2006 - 2009 Topological Studies around Riemann Surfaces
- 2005 - 2009 Maritime Cross-Cultural Exchange in East Asia and the Formation of Japanese Traditional Culture
- 2005 - 2008 A classification of hyperbolic 3-manifolds and deformation spaces of hyperbolic structures
- 2006 - 2007 Research on the deformation space of hyperbolic structures on manifolds
- 2005 - 2007 Studies on the Cohomology of Mapping Class Groups, Coxeter Groups and Artin Groups
- 2004 - 2007 Various aspects of infinite groups of transformations acting on manifolds
- 2004 - 2006 Geometry of Groups and Moduli Spaces
- 2002 - 2004 Complex analytic approach towards topology studies on the mapping class ganups for surfaces
- 2001 - 2003 Mapping Class Group of Surfaces and Geometry of Moduli Spaces
- 2000 - 2003 シンプレクティック幾何における商空間の幾何学とその応用
- 2000 - 2002 Topological Study on the Degeneration Phenomena of Riemann Surfaces
- 1999 - 2001 A topological study of the moduli space of Riemann surface
- 1999 - 2001 Research on Characteristic Classes of Singular Varieties
- 1998 - 2000 STRUCTURE OF THE MAPPING CLASS GROUP AND GEOMETRY OF THE MODULI SPACE OF RIEMANN SURFACES
- 1997 - 1999 The Index Theorem and Analytic Secondary Invariants in Symplectic Geometry
- 1997 - 1998 リーマン面のモジュライ空間の位相的研究
- 1997 - 1998 Classical theory and quantization on integrable geodesic flows
- 1996 - 1998 Contact Geometry of Second Order
- 1996 - 1997 First Order Partial Differential Equation and WEB Geometry
- 1997 - 楕円函数の数理物理学的研究
- 1995 - 1996 Research on Complex Analytic Geometry and Singularity Theory
- 1995 - 写像類群の位相幾何的研究
- 1994 - 1994 リーマン面のモジェライ空間のコホモロジーの無限小的方法による研究
- 1991 - 1991 4次元ファイバ-空間と曲面の写像類
- 1989 - 1989 不連続群および保型形式の整数論
- 1987 - リーマン面のモジュライ空間の位相の研究
- Mathematical physics related to elliptic functions
- Topological study on the mapping class groups
- Study on topology of the moduli of Riemann surfaces
Show all
Papers (15)：
-
Anton Alekseev, Nariya Kawazumi, Yusuke Kuno, Florian Naef. The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem. Advances in Mathematics. 2018. 326. 1-53
-
KAWAZUMI Nariya. The mapping class group orbits in the framings of compact surfaces. Quarterly J. Math. 2018
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Shinji Fukuhara, Nariya Kawazumi, Yusuke Kuno. Self-intersections of curves on a surface and Bernoulli numbers. Osaka Journal of Mathematics. 2018
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Anton Alekseev, Nariya Kawazumi, Yusuke Kuno, Florian Naef. Higher genus Kashiwara-Vergne problems and the Goldman-TuraevLie bialgebra. COMPTES RENDUS MATHEMATIQUE. 2017. 355. 2. 123-127
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KAWAZUMI Nariya. A tensorial description of the Turaev cobracket on genus 0 compact surfaces. RIMS Kokyuroku Besssatsu. 2017. B66
ｍore...
MISC (21)：
Books (1)：
-
An infinitesimal approach to the stable cohomology of the moduli of Riemann surfaces.
in: proceednigs of the 37th. Taniguchi Symposium on 'Topology and Teichm(]E88DB[)llir theory', World Scientific 1996
Lectures and oral presentations (12)：
-
Johnson homomorphisms and the Morita-Penner cocycle --- a survey
(102e rencontre entre mathematiciens et physiciens theoriciens 2018)
-
Formality of the Goldman bracket and the Turaev cobracket
(MFO Workshop `New Trends in Teichmüller Theory and Mapping Class Groups 2018)
-
The harmonic Magnus expansion on a compact Riemann surface with non-zero tangent vectors
(Seminaire `Groupes de Lie et espaces des modules’ 2017)
-
写像類群、Goldman-Turaev Lie 双代数、柏原 Vergne 問題
(日本数学会秋季総合分科会トポロジー分科会特別講演 2017)
-
Differential forms and functions on the moduli space of Riemann surfaces
(Seminaire Algebre et topologie 2017)
ｍore...
Education (4)：
- - 1989 The University of Tokyo
- - 1989 The University of Tokyo Graduate School, Division of Science
- - 1987 The University of Tokyo Faculty of Science Department of Mathematics
- - 1987 The University of Tokyo Faculty of Science
Professional career (2)：
- Doctor of Mathematical Sciences (The University of Tokyo)
- Master of Sciences (The University of Tokyo)
Association Membership(s) (1)：
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